Day Problems Simplify each expression. 1. -4 – 62. 5.3 – (-8.4) 3. Evaluate each expression for a = -2, b = 3.5, and c = -4. 4. a – b + c5. |c + a + 5|

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Presentation transcript:

Day Problems Simplify each expression – – (-8.4) 3. Evaluate each expression for a = -2, b = 3.5, and c = a – b + c5. |c + a + 5|

1.6 Multiplying and Dividing Real Numbers For every real number n: The product of a number and 1 is the original number. - identity property : n 1 = n Ex. 3 1 = = -5 The product of 0 and a number is 0. - Multiplication property of zero: n 0 = 0 Ex. 8 0 = = 0 The product of -1 and a number is the opposite of the original number. – Multiplication property of -1 : -1 n = -n Ex = = 30

Multiplying Positive and Negative Numbers Multiplying numbers with the SAME SIGN –The product of two positive numbers or two negative numbers is positive. Ex. 5 2 = 10-5 (-2) = 10 Multiplying numbers with DIFFERENT SIGNS –The product of a positive number and a negative number, or a negative number and a positive number, is negative. Ex. 3 (-6) = = -18

Multiplying Numbers Simplify each expression. a.-9 (-4) = 36 b.

Evaluating Expressions Evaluate -2xy for x = -20 and y = xy = -2 (-20) (-3) = 40 (-3) = -120

Simplifying Exponential Expressions Use the order of operations to simplify each expression. a = - ( ) = -81 b.(-3) 4 = (-3)(-3)(-3)(-3) = 81

Dividing Real Numbers Dividing Numbers with the Same Sign –The quotient of two positive numbers or two negative numbers is positive. Ex. 6 ÷ 3 = 2-6 ÷ (-3) = 2 Dividing Numbers with Different Signs –The quotient of a positive number and a negative number, or a negative number and a positive number, is negative. Ex. -6 ÷ 3 = -26 ÷ (-3 ) = -2

Dividing Numbers Simplify each expression. a. 12 ÷ (-4) = -3 b.-12 ÷ (-4) = 3

Evaluating Expressions Evaluate for x = -20, y = 6, and z = -1.